Journal ArticleDOI
3274. An integral mean value theorem
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This article is published in The Mathematical Gazette.The article was published on 1970-10-01. It has received 10 citations till now. The article focuses on the topics: Mean value theorem (divided differences).read more
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Book ChapterDOI
The Fundamental Theorem of Calculus
TL;DR: In this article, the Fundamental Theorem of Calculus is used for computing definite integrals which routinely appear in problems with no apparent notion of area or of average value in sight.
Journal ArticleDOI
On Flett’s mean value theorem
Ondrej Hutník,Jana Molnárová +1 more
TL;DR: In this paper, the authors provide a detailed study of various (known as well as new) sufficient conditions for its validity, their geometric interpretations, and a comparison of the corresponding classes of functions.
Journal ArticleDOI
Some results related to the integral mean value theorem
TL;DR: In this article, some new results related to the integral mean value theorem are proven, and they are shown to be equivalent to the results in this paper, which are shown in Table 1.
Journal ArticleDOI
Sahoo- and Wayment-type integral mean value theorems
Aydin Tiryaki,Devrim Çakmak +1 more
TL;DR: In this paper, by using Rolle's theorem, the authors established some results related to the mean value theorem for integrals, which are different from the set of integral mean value theorems which are given by Wayment and Sahoo.
Journal ArticleDOI
The stability of some points arising from continuous, differential and integral expressions
TL;DR: In this article, the authors established new stability results on the intermediary points of Darboux functions and continuous functions, on the extreme points, the stationary points and the inflection points.
References
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Journal ArticleDOI
A New Type of Mean Value Theorem
TL;DR: In this paper, a new type of mean value theorem is proposed, which is based on the concept of Mean Value Theorem (MVTheorem Theorem 1.1).
Journal ArticleDOI
On Mean Value Theorems
TL;DR: In this paper, Mean Value Theorems were studied in the context of mean value theorem. But they were not considered in this paper. The American Mathematical Monthly: Vol. 76, No. 1, pp. 70-73.